# How do you find the greatest common factor of 30, 12?

Mar 5, 2018

$G C F \left(12 , 30\right) = 6$

#### Explanation:

First, split each number into their factors.

$30 = 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30$
$12 = 1 , 2 , 3 , 4 , 6 , 12$

Now we look for the greatest number appearing in both.

Both numbers have these factors:
$1 , 2 , 3 , 6$

The greatest common factor will be the largest number in this list, which is $6$.